TY - JOUR
T1 - Free energy, entropy, and lattice gas representations
AU - Percus, J. K.
N1 - Funding Information:
Based upon lecture given at 3rd Liblice Conference on Many-Body Theory, Lake Milovy, Czech Republic, June 1994. Supported in part by NSF grant CHE 9708562.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2000/8/15
Y1 - 2000/8/15
N2 - The entropy formulation for profile equations of pair-interacting classical fluids is recalled, and the special case of next-neighbor interacting fluids in one dimension carried out in auxiliary field form. Attention shifts to the general lattice gas with multi-state sites. The exact entropy is obtained for next-neighbor interacting Cayley trees, and generalized to simplicial trees with adjacent surface interactions. We then find the continuum limit of the tree models in their usual lattice gas version and put this in the general context of many-body interacting classical systems.
AB - The entropy formulation for profile equations of pair-interacting classical fluids is recalled, and the special case of next-neighbor interacting fluids in one dimension carried out in auxiliary field form. Attention shifts to the general lattice gas with multi-state sites. The exact entropy is obtained for next-neighbor interacting Cayley trees, and generalized to simplicial trees with adjacent surface interactions. We then find the continuum limit of the tree models in their usual lattice gas version and put this in the general context of many-body interacting classical systems.
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U2 - 10.1016/S0378-4371(00)00118-7
DO - 10.1016/S0378-4371(00)00118-7
M3 - Article
AN - SCOPUS:0034251469
SN - 0378-4371
VL - 283
SP - 369
EP - 387
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 3
ER -